Energy Correlators Beyond Angles

Abstract

Energy correlators are theoretically simple and physically intuitive observables that bridge experimental and theoretical particle physics. They have for example enabled the most precise jet substructure determination of the strong coupling constant to date, and recent proposals suggest that they may be used to precisely determine of the top quark mass with calculable, small theoretical uncertainties. However, existing energy correlators all measure correlations in angles between particles, from which other observables such as mass must be inferred through potentially complicated procedures. In this work, we generalize energy correlators to enable straightforward measurements of non-angular correlations, which we call Energy Weighted Observable Correlations (EWOCs). To enforce collinear safety, EWOCs quantify correlations between subjets rather than particles. The subjet radius can be tuned to control both the physical scales probed by EWOCs and their sensitivity to non-perturbative physics. We focus on the phenomenologically relevant example of the mass EWOC, which measures mass correlations between pairs of subjets, in the task of extracting mass scales from jets. In jet substructure determinations of the mass of a hadronically-decaying W boson, we show that the mass EWOC outperforms the angle-based energy correlator, and performs comparably to the soft-drop groomed jet mass. As a first exploration of the theoretical properties of EWOCs, we also calculate the mass EWOC on light-quark jets and compare to results obtained with Pythia.

21 pages, 9 figures. Code available at https://github.com/samcaf/ResolvedEnergyCorrelators . v2: journal version

References in corpus (11)

• Tuning PYTHIA 8.1: the Monash 2013 Tune
• Conformal collider physics: Energy and charge correlations
• The Collinear Limit of the Energy-Energy Correlator
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• Energy-energy correlation in electron-positron annihilation at NNLL+NNLO accuracy
• Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays
• Medium-induced gluon radiation and colour decoherence beyond the soft approximation
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Nuclear configurational entropy of the energy-energy correlation in $e^{+}{e}^{-}$ annihilation processes
• Rapidity-dependence of jet shape broadening and quenching

Cited by in corpus (1)

• Gluon Polarimetry with Energy-Energy Correlators